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Comparison of experiment and theory for rPP

18 10 23 14 56
Species with coordinate rPP
Species Name
P2 Phosphorus diatomic
P4 Phosphorus tetramer
P2H4 Diphosphine
The small prefix is the number of bonds with completed calculations.
Click on an entry for a histogram of the difference distribution.
rms differences (calculated - experiment) in Å
Methods with predefined basis sets
semi-empirical AM1 1 0.200
PM3 1 0.179
PM6 4 0.111
composite G2 1 0.034
G3 1 0.034
G3B3 3 0.020
G4 4 0.053
CBS-Q 1 0.034

rms differences (calculated - experiment) in Å
Methods with standard basis sets
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ daug-cc-pVTZ
hartree fock HF 3 0.064 3 0.143 3 0.037 3 0.106 4 0.036 3 0.029 2 0.035 3 0.030 3 0.030 3 0.029 3 0.033 4 0.032 3 0.020 3 0.027 3 0.031 3 0.018 3 0.027 2 0.029 1 0.036 3 0.032 1 0.042 1 0.028 1 0.042 4 0.035
density functional LSDA 3 0.015 3 0.152 3 0.020 3 0.125 3 0.009 3 0.009 3 0.009 3 0.008 3 0.008 3 0.012   1 0.010 3 0.015 3 0.010   3 0.016 1 0.001   1 0.005 1 0.006 1 0.006      
BLYP 3 0.027 3 0.202 3 0.033 3 0.178 4 0.040 3 0.049 3 0.050 3 0.051 3 0.052 3 0.039   1 0.034 3 0.061 3 0.041   3 0.062     1 0.027 1 0.018 1 0.018      
B1B95 3 0.025   3 0.025 3 0.116 3 0.016 3 0.014 3 0.014 3 0.015 3 0.015 3 0.016   1 0.004 3 0.011 3 0.016   3 0.009 1 0.011   1 0.009 1 0.017 1 0.017      
B3LYP 3 0.017 3 0.172 3 0.011 3 0.145 3 0.020 3 0.020 3 0.020 3 0.023 1 0.004 3 0.014 3 0.011 4 0.022 3 0.033 3 0.015 2 0.014 3 0.034 3 0.016 2 0.014 1 0.004 3 0.011 1 0.005      
B3LYPultrafine         3 0.020             1 0.010 1 0.015 2 0.019   1 0.017 4 0.053       1 0.005      
B3PW91 1 0.032 3 0.159 3 0.015 3 0.128 3 0.010 3 0.010 3 0.010 3 0.012 1 0.002 3 0.009   1 0.004 3 0.019 3 0.008   3 0.020     1 0.001 1 0.009 1 0.009      
mPW1PW91 1 0.038 3 0.153 1 0.008 3 0.121 3 0.010 3 0.010 3 0.010 3 0.012 3 0.012 3 0.012   1 0.000 3 0.013 3 0.010   3 0.014 1 0.008   1 0.006 1 0.014 1 0.014      
M06-2X 1 0.052 1 0.053 4 0.028 1 0.064 4 0.018 1 0.011 1 0.011 1 0.016 1 0.016 1 0.016 4 0.026 1 0.010 1 0.004 1 0.016   1 0.002 1 0.016   1 0.014 1 0.021 1 0.021      
PBEPBE 1 0.013 3 0.179 1 0.017 1 0.103 3 0.025 3 0.025 3 0.026 3 0.027 3 0.027 3 0.017 3 0.011 1 0.026 2 0.039 3 0.019   1 0.032 3 0.019   1 0.019 1 0.011 1 0.011      
PBEPBEultrafine         3 0.025             1 0.026 1 0.031 1 0.018   1 0.032 1 0.017       1 0.011      
PBE1PBE 1 0.039   1 0.008 1 0.076 4 0.051 1 0.000 1 0.000 1 0.006 1 0.006 1 0.007   1 0.001 1 0.006 1 0.006   1 0.008 1 0.007       1 0.013      
HSEh1PBE 1 0.038 4 0.134 1 0.007 1 0.078 3 0.010 1 0.002 4 0.050 1 0.005 1 0.005 1 0.006   1 0.002 1 0.008 4 0.052   1 0.009 1 0.006   1 0.004 1 0.012 1 0.012      
TPSSh   1 0.082 1 0.002 1 0.086 4 0.016 1 0.009 4 0.016 1 0.002   4 0.012   1 0.010 1 0.016 4 0.013   1 0.017 1 0.001       1 0.005      
wB97X-D     4 0.016   4 0.011   4 0.011   4 0.013     4 0.011 4 0.011 4 0.015     4 0.015              
B97D3   4 0.097     4 0.027   4 0.027   4 0.025   4 0.019 4 0.027   4 0.021     4 0.018             4 0.018
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1 0.052 3 0.231 3 0.027 3 0.201 4 0.035 3 0.025 3 0.025 4 0.033 3 0.019 3 0.020   4 0.027 3 0.038 3 0.019 2 0.019 3 0.045 2 0.024 1 0.024 1 0.041 3 0.016 1 0.027 2 0.040 1 0.026  
MP2=FULL 1 0.052 3 0.232 1 0.025 1 0.184 3 0.025 3 0.025 3 0.024 3 0.019 1 0.032 1 0.026   1 0.045 3 0.036 2 0.022 2 0.019 2 0.048 1 0.021 1 0.020 1 0.038 3 0.022 1 0.016 2 0.038 1 0.020  
MP3         3 0.006   4 0.013         1 0.008 1 0.020 1 0.001         1 0.008 1 0.005 1 0.004      
MP3=FULL         4 0.013   4 0.013         1 0.010 1 0.018 1 0.002             1 0.011      
MP4   1 0.159     3 0.022     2 0.025 1 0.032     1 0.045 1 0.056 2 0.027   1 0.060 1 0.036   1 0.042 1 0.029 1 0.029      
MP4=FULL   1 0.161     1 0.037       1 0.033       1 0.054 1 0.032   1 0.058 1 0.028       1 0.020      
B2PLYP 1 0.004 1 0.116 1 0.011 1 0.123 4 0.015 1 0.024 1 0.024 1 0.016 1 0.016 1 0.016   1 0.024 1 0.031 4 0.022   1 0.034 1 0.015   1 0.018 1 0.009 1 0.009      
B2PLYP=FULL 1 0.004 1 0.116 1 0.011 1 0.123 1 0.023 1 0.023 1 0.023 1 0.016 1 0.016 1 0.013   1 0.024 1 0.031 1 0.014   1 0.033 1 0.013       1 0.006      
B2PLYP=FULLultrafine         4 0.015               4 0.029 4 0.009     4 0.009              
Configuration interaction CID   1 0.089 1 0.013 1 0.097 3 0.015     2 0.009                         1 0.017      
CISD   1 0.092 1 0.010 1 0.100 3 0.015     1 0.008                         1 0.015      
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   3 0.217 1 0.006 1 0.126 3 0.012 1 0.018 2 0.013 3 0.011 2 0.007 1 0.010   1 0.021 2 0.028 1 0.008   1 0.033 1 0.008   1 0.018 1 0.002 1 0.002      
QCISD(T)         2 0.022     2 0.021       1 0.034 1 0.045 1 0.024   1 0.049 1 0.024   1 0.033 1 0.018 1 0.018      
Coupled Cluster CCD   1 0.113 1 0.000 1 0.119 3 0.010 1 0.012 1 0.011 2 0.010 1 0.003 1 0.004   1 0.015 2 0.032 1 0.002   1 0.028 1 0.003   1 0.013 1 0.004 1 0.003      
CCSD         3 0.011     2 0.012       1 0.018 1 0.028 1 0.006 1 0.004 1 0.031 1 0.006 1 0.004 1 0.016 1 0.000 1 0.000      
CCSD=FULL         1 0.013             1 0.019 1 0.026 1 0.002 1 0.007 1 0.029 1 0.001 1 0.007     1 0.009      
CCSD(T)   1 0.128     3 0.017 2 0.021 1 0.028 2 0.020 1 0.019   1 0.014 1 0.033 2 0.042 2 0.017 1 0.012 2 0.049 2 0.017 1 0.012 1 0.031 1 0.016 1 0.017 2 0.039 2 0.011  
CCSD(T)=FULL         3 0.018             1 0.034 2 0.040 2 0.013 1 0.009 2 0.047 1 0.016 1 0.009 1 0.030 1 0.012 1 0.008 2 0.037 1 0.012  
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ daug-cc-pVTZ

rms differences (calculated - experiment) in Å
Methods with effective core potentials (select basis sets)
CEP-31G CEP-31G* CEP-121G CEP-121G* LANL2DZ SDD cc-pVTZ-PP aug-cc-pVTZ-PP Def2TZVPP
hartree fock HF 3 0.105 3 0.014 3 0.108 3 0.018 3 0.127 3 0.132     4 0.024
density functional B1B95 3 0.146 3 0.038              
B3LYP 3 0.162 3 0.048 3 0.161 3 0.046 3 0.182 3 0.170     4 0.012
PBEPBE                 4 0.020
Moller Plesset perturbation MP2 3 0.210 3 0.055 3 0.206 3 0.049 3 0.225 3 0.221     4 0.026
For descriptions of the methods (AM1, HF, MP2, ...) and basis sets (3-21G, 3-21G*, 6-31G, ...) see the glossary in section I.C. Predefined means the basis set used is determined by the method.